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Simplifying 4(2c + -8) = 5(c + 4) Reorder the terms: 4(-8 + 2c) = 5(c + 4) (-8 * 4 + 2c * 4) = 5(c + 4) (-32 + 8c) = 5(c + 4) Reorder the terms: -32 + 8c = 5(4 + c) -32 + 8c = (4 * 5 + c * 5) -32 + 8c = (20 + 5c) Solving -32 + 8c = 20 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -32 + 8c + -5c = 20 + 5c + -5c Combine like terms: 8c + -5c = 3c -32 + 3c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 -32 + 3c = 20 + 0 -32 + 3c = 20 Add '32' to each side of the equation. -32 + 32 + 3c = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 3c = 20 + 32 3c = 20 + 32 Combine like terms: 20 + 32 = 52 3c = 52 Divide each side by '3'. c = 17.33333333 Simplifying c = 17.33333333
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